Displaying similar documents to “Markov operators defined by Volterra type integrals with advanced argument”

Markov operators acting on Polish spaces

Tomasz Szarek (1997)

Annales Polonici Mathematici

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We prove a new sufficient condition for the asymptotic stability of Markov operators acting on measures. This criterion is applied to iterated function systems.

The uniqueness of invariant measures for Markov operators

Tomasz Szarek (2008)

Studia Mathematica

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It is shown that Markov operators with equicontinuous dual operators which overlap supports have at most one invariant measure. In this way we extend the well known result proved for Markov operators with the strong Feller property by R. Z. Khas'minski.

A note on Markov operators and transition systems

Bartosz Frej (2002)

Colloquium Mathematicae

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On a compact metric space X one defines a transition system to be a lower semicontinuous map X → 2 X . It is known that every Markov operator on C(X) induces a transition system on X and that commuting of Markov operators implies commuting of the induced transition systems. We show that even in finite spaces a pair of commuting transition systems may not be induced by commuting Markov operators. The existence of trajectories for a pair of transition systems or Markov operators is also investigated. ...

On the exchanges between Wolfgang Doeblin and Bohuslav Hostinský

Laurent Mazliak (2007)

Revue d'histoire des mathématiques

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We present the letters sent by Wolfgang Doeblin to Bohuslav Hostinský between 1936 and 1938. They concern some aspects of the general theory of Markov chains and the solutions of the Chapman-Kolmogorov equation that Doeblin was then establishing for his PhD thesis.